LCM of 101, 507, 856, 845, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 101, 507, 856, 845, 900 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 101, 507, 856, 845, 900. So, keep reading to learn more.
Given numbers are 101,507,856,845,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 101,507,856,845,900 is 3287489400.
Find LCM of 101,507,856,845,900 with Prime Factorization
| 2 | 101, 507, 856, 845, 900 |
| 2 | 101, 507, 428, 845, 450 |
| 3 | 101, 507, 214, 845, 225 |
| 5 | 101, 169, 214, 845, 75 |
| 13 | 101, 169, 214, 169, 15 |
| 13 | 101, 13, 214, 13, 15 |
| 101, 1, 214, 1, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 13 x 101 x 1 x 214 x 1 x 15 = 3287489400
Therefore, the lowest common multiple of 101,507,856,845,900 is 3287489400.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
101 x 507 x 856 x 845 x 900 = 33335142516000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
101 : 1, 101
507 : 1, 3, 13, 39, 169, 507
856 : 1, 2, 4, 8, 107, 214, 428, 856
845 : 1, 5, 13, 65, 169, 845
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,507,856,845,900, is 1.
Now, the common factors can be found like this.
101:101
507:3x 13x 13
856:2x 2x 2x 107
845:5x 13x 13
900:2x 2x 3x 3x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 5x 13x 13 = 10140
Therefore, the value for common factors is 10140.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 33335142516000/(1x10140)
LCM = 33335142516000/10140
LCM = 3287489400
Thus, we can understand that the LCM of 101,507,856,845,900 is 3287489400.
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FAQs on LCM of 101, 507, 856, 845, 900
1. What is the LCM of 101, 507, 856, 845, 900?
Answer: LCM of 101, 507, 856, 845, 900 is 3287489400.
2. How to calculate the LCM of 101, 507, 856, 845, 900?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 101, 507, 856, 845, 900.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.